The probability that an event happens is 0.42. What is the probability that the event do NOT happen?Select one:A. 0B. 1C. -0.42D. 0.58

Break Down the Problem

1. Given the probability of an event occurring, P(Event) = 0.42.
2. We need to find the probability of the event not occurring, P(Not Event).

Relevant Concepts

3. The relationship between the probability of an event and the probability of it not occurring is given by the formula: $P(Not \ Event) = 1 - P(Event)$

Analysis and Detail

4. Substituting the given value into the formula: $P(Not \ Event) = 1 - 0.42$ $P(Not \ Event) = 0.58$

Verify and Summarize

5. Verify the calculation:
   • Total probability is always 1, thus adding P(Event) and P(Not Event) should equal 1: $P(Event) + P(Not Event) = 0.42 + 0.58 = 1$ This confirms our calculations are correct.

Final Answer

The probability that the event does not happen is 0.58. Thus, the correct answer is D. 0.58.